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最小度不小于3的[s,t]-图的可迹性
引用本文:王文彬,王江鲁. 最小度不小于3的[s,t]-图的可迹性[J]. 山东科学, 2009, 22(6): 6-8
作者姓名:王文彬  王江鲁
作者单位:山东师范大学数学科学学院,山东济南,250014
摘    要:如果G中任意s个点的导出子图中至少有t条边,则称G为[s,t]-图.本文证明了:若G为最小度不小于3的2-连通[6,3]-图,则G有Hamilton路或G同构于K5∨G3.

关 键 词:[s  t]-图  最小度  Hamilton路

The Traceability of a [s ,t]-Graph of Minimum Degree No Less than 3
WANG Wen-bin,WANG Jiang-lu. The Traceability of a [s ,t]-Graph of Minimum Degree No Less than 3[J]. Shandong Science, 2009, 22(6): 6-8
Authors:WANG Wen-bin  WANG Jiang-lu
Affiliation:( School of Mathematics, Sharwlong Normal University, Jinan 250014, China)
Abstract:A graph G is a [s,t]-graph if there are at least t edges in every included sub-graph of any s vertices. This paper proves that a graph G has a Hamilton path or if G is a Hamilton path or G=K5 ∨G3 if G is a δ≥3,2-connected [6,3]-graph.
Keywords:[s
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